Three-species predator-prey model with respect to Caputo and Caputo-Fabrizio fractional operators
Numerical Analysis
2024-07-25 v5 Numerical Analysis
Abstract
We study distributed lag effects in three-dimensional Lotka-Volterra systems by applying the concept of fractional calculus. We derive a new numerical method that provides enhanced stability for the Caputo-Fabrizio operator based on Adams-Bashforth method, considering non-singular kernel in the definition of Caputo-Fabrizio operator. We investigate the stability conditions of this system with comparisons to the Caputo fractional derivative. Numerical results show that the type of differential operators and the value of orders significantly influence the stability of the numerical solution, and dynamics of the Lotka-Volterra system.
Keywords
Cite
@article{arxiv.1908.03685,
title = {Three-species predator-prey model with respect to Caputo and Caputo-Fabrizio fractional operators},
author = {Leila Eftekhari and Moein Khalighi and Soleiman Hosseinpour and Leo Lahti},
journal= {arXiv preprint arXiv:1908.03685},
year = {2024}
}